Charmonium, Upsilon and heavy-flavor spectra and the effective quark-antiquark potential of the dual superconducting model of QCD
In a series of papers, Baker, Ball and Zachariasen (BBZ) have derived an effective quark-antiquark potential from the dual QCD Lagrangian by eliminating the gluon fields and the Higgs field in favor of quark position, spin and velocity coordinates. They carry out an expansion in inverse powers of the constituent masses and thus present explicit expressions for the central potential, the spin-dependent potentials and the second-order spin-independent correction to the central potential. Since we consider only spin-averaged energies, we test only the spin-independent parts of the potential. In addition to relativistic potential effects discussed above, relativistic kinematic effects are included by using the spinless Salpeter equation. The Salpeter equation is solved using a recent improvement of the Rayleigh-Ritz-Galerkin method that focuses on analytic expressions for the liner potential, the Coulomb potential and the square of the momentum operator. Appliability of the method to the Yukawa functions of the BBZ potential is established. Numerical results are presented for charmonium, the upsilon system, and the B and D mesons and compared with experiment.
- OSTI ID:
- 255461
- Report Number(s):
- CONF-9510116-; ISSN 0003-0503; TRN: 96:015766
- Journal Information:
- Bulletin of the American Physical Society, Vol. 40, Issue 10; Conference: Fall meeting of the Division of Nuclear Physics of the American Physical Society, Bloomington, IN (United States), 25-28 Oct 1995; Other Information: PBD: Oct 1995
- Country of Publication:
- United States
- Language:
- English
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